Average Error: 0.0 → 0.2
Time: 5.8s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(x - \left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \left(\sqrt[3]{y - 1} \cdot z\right)\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b
↓
\left(\left(x - \left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \left(\sqrt[3]{y - 1} \cdot z\right)\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b
double f(double x, double y, double z, double t, double a, double b) {
        double r37083 = x;
        double r37084 = y;
        double r37085 = 1.0;
        double r37086 = r37084 - r37085;
        double r37087 = z;
        double r37088 = r37086 * r37087;
        double r37089 = r37083 - r37088;
        double r37090 = t;
        double r37091 = r37090 - r37085;
        double r37092 = a;
        double r37093 = r37091 * r37092;
        double r37094 = r37089 - r37093;
        double r37095 = r37084 + r37090;
        double r37096 = 2.0;
        double r37097 = r37095 - r37096;
        double r37098 = b;
        double r37099 = r37097 * r37098;
        double r37100 = r37094 + r37099;
        return r37100;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r37101 = x;
        double r37102 = y;
        double r37103 = 1.0;
        double r37104 = r37102 - r37103;
        double r37105 = cbrt(r37104);
        double r37106 = r37105 * r37105;
        double r37107 = z;
        double r37108 = r37105 * r37107;
        double r37109 = r37106 * r37108;
        double r37110 = r37101 - r37109;
        double r37111 = t;
        double r37112 = r37111 - r37103;
        double r37113 = a;
        double r37114 = r37112 * r37113;
        double r37115 = r37110 - r37114;
        double r37116 = r37102 + r37111;
        double r37117 = 2.0;
        double r37118 = r37116 - r37117;
        double r37119 = b;
        double r37120 = r37118 * r37119;
        double r37121 = r37115 + r37120;
        return r37121;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
  2. Using strategy rm

  3. Applied add-cube-cbrt0.2

    \[\leadsto \left(\left(x - \color{blue}{\left(\left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \sqrt[3]{y - 1}\right)} \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

  4. Applied associate-*l*0.2

    \[\leadsto \left(\left(x - \color{blue}{\left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \left(\sqrt[3]{y - 1} \cdot z\right)}\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

  5. Final simplification0.2

    \[\leadsto \left(\left(x - \left(\sqrt[3]{y - 1} \cdot \sqrt[3]{y - 1}\right) \cdot \left(\sqrt[3]{y - 1} \cdot z\right)\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

Reproduce

herbie shell --seed 2020083 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  :precision binary64
  (+ (- (- x (* (- y 1) z)) (* (- t 1) a)) (* (- (+ y t) 2) b)))